Bridging the Gap to University Mathematics

Bridging the Gap to University Mathematics
Author: Edward Hurst
Publisher: Springer Science & Business Media
Total Pages: 347
Release: 2009-01-08
Genre: Mathematics
ISBN: 1848002904

Helps to ease the transition between school/college and university mathematics by (re)introducing readers to a range of topics that they will meet in the first year of a degree course in the mathematical sciences, refreshing their knowledge of basic techniques and focussing on areas that are often perceived as the most challenging. Each chapter starts with a "Test Yourself" section so that readers can monitor their progress and readily identify areas where their understanding is incomplete. A range of exercises, complete with full solutions, makes the book ideal for self-study.

Fundamentals of University Mathematics

Fundamentals of University Mathematics
Author: Colin McGregor
Publisher: Elsevier
Total Pages: 564
Release: 2010-10-20
Genre: Mathematics
ISBN: 0857092243

The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics.Expertly revised and updated, the chapters cover topics such as number systems, set and functions, differential calculus, matrices and integral calculus. Worked examples are provided and chapters conclude with exercises to which answers are given. For students seeking further challenges, problems intersperse the text, for which complete solutions are provided. Modifications in this third edition include a more informal approach to sequence limits and an increase in the number of worked examples, exercises and problems.The third edition of Fundamentals of university mathematics is an essential reference for first year university students in mathematics and related disciplines. It will also be of interest to professionals seeking a useful guide to mathematics at this level and capable pre-university students. - One volume, unified treatment of essential topics - Clearly and comprehensively covers material beyond standard textbooks - Worked examples, challenges and exercises throughout

System Modelling and Optimization

System Modelling and Optimization
Author: M.J.D. Powell
Publisher: Springer
Total Pages: 348
Release: 2013-03-20
Genre: Technology & Engineering
ISBN: 0387355146

System Modelling and Optimization covers research issues within systems theory, optimization, modelling, and computing. It includes contributions to structural mechanics, integer programming, nonlinear programming, interior point methods, dynamical systems, stability analysis, stochastic optimization, bilevel optimization, and semidefinite programming. Several survey papers written by leading experts in their fields complement new developments in theory and applications. This book contains most of the invited papers and a few carefully selected submitted papers that were presented at the 19th IFIP TC7 Conference on System Modelling and Optimization, which was held in Cambridge, England, from July 12 to 16, 1999, and sponsored by the International Federation for Information Processing (IFIP).

Fuzzy Logic and Probability Applications

Fuzzy Logic and Probability Applications
Author: Timothy J. Ross
Publisher: SIAM
Total Pages: 424
Release: 2002-01-01
Genre: Mathematics
ISBN: 0898715253

Shows both the shortcomings and benefits of each technique, and even demonstrates useful combinations of the two.

Rough Draft Math

Rough Draft Math
Author: Amanda Jansen
Publisher: Taylor & Francis
Total Pages: 224
Release: 2023-10-10
Genre: Education
ISBN: 1003839126

Talking and writing about unfinished ideas is vital to learning mathematics, but most students only speak up when they think they have the right answer - especially middle school and high school students. Amanda Jansen and her collaborating teachers have developed a breakthrough approach to address this challenge. In Rough Draft Math: Revising to Learn, Jansen shares the power of infusing math class with the spirit of revision so that students feel comfortable thinking aloud as they problem-solve rather than talking only to perform right answers. Creating a Community of Learners: As part of the rough draft framework, a class of students becomes an equitable and inclusive community of thinkers, one where students feel safe to engage in discourse while developing mathematical competency and confidence Practical Application of Innovative Ideas: This book includes specific teaching techniques and a range of classroom vignettes showing rough draft math in action within a student-centered teaching approach. Children can develop solutions at their own pace and share thought processes behind their conclusions Classroom Tested: Jansen has developed the concept of rough draft math in collaboration with a diverse group of dynamic and reflective teachers. Rough Draft Math provides a blueprint for educators to allow free-thinking discussion while maintaining the mathematical learning goalsRough Draft Math, Jansen shows how to create an energetic classroom culture where students readily participate and share their evolving understanding while engaging in math talk, collaborative problem solving, and ongoing revision of ideas. '

Towards Higher Mathematics: A Companion

Towards Higher Mathematics: A Companion
Author: Richard Earl
Publisher: Cambridge University Press
Total Pages: 545
Release: 2017-09-07
Genre: Mathematics
ISBN: 1107162386

This book allows students to stretch their mathematical abilities and bridges the gap between school and university.

Raising the Bar and Closing the Gap

Raising the Bar and Closing the Gap
Author: Richard DuFour
Publisher: Solution Tree Press
Total Pages: 353
Release: 2010-04-01
Genre: Education
ISBN: 1935542397

This expansion of Whatever It Takes sharpens the focus on the pyramid of interventions strategy. The authors examine case studies of schools and districts across North America to illustrate how PLC at WorkTM is a sustainable and transferable process that ensures struggling students get the support they need to achieve. They address how to enrich and extend the learning of proficient students and explain how PLC intervention processes align with RTI legislation.

Mathematical Methods For Physics

Mathematical Methods For Physics
Author: H. W. Wyld
Publisher: CRC Press
Total Pages: 395
Release: 2018-03-14
Genre: Science
ISBN: 0429978642

This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.

Bridging the Gap Between Arithmetic & Algebra

Bridging the Gap Between Arithmetic & Algebra
Author: Bradley S. Witzel
Publisher:
Total Pages: 196
Release: 2016
Genre: Education
ISBN: 9780865865099

Although two federal panels have concluded that all students can learn mathematics and most succeed through Algebra 2, the abstractness of algebra and missing precursor understandings may be overwhelming to many students ... and their teachers. Bridging the Gap Between Arithmetic & Algebra responds to this need for instruction and interventions that go beyond typical math lesson plans. Providing a review of evidence-based practices, this book is an essential reference for mathematics teaches and special education teachers when teaching mathematics to students who struggle with the critical concepts and skills necessary for success in algebra.

Bridging the Achievement Gap

Bridging the Achievement Gap
Author: John E. Chubb
Publisher: Rowman & Littlefield
Total Pages: 272
Release: 2004-05-13
Genre: Education
ISBN: 9780815714026

The achievement gap between white students and African American and Hispanic students has been debated by scholars and lamented by policymakers since it was first documented in 1966. The average black or Hispanic secondary school student currently achieves at about the same level as the average white student in the lowest quartile of white achievement. Black and Hispanic students are much less likely than white students to graduate from high school, acquire a college or advanced degree, or earn a middle-class living. They are also much more likely than whites to suffer social problems that often accompany low income. While educators have gained an understanding of the causes and effects of the education achievement gap, they have been less successful in finding ways to eliminate it—until now. This book provides, for the first time in one place, evidence that the achievement gap can be bridged. A variety of schools and school reforms are boosting the achievement of black and Hispanic students to levels nearing those of whites. Bridging the Achievement Gap brings together the findings of renowned education scholars who show how various states, school districts, and individual schools have lifted the achievement levels of poor and minority students. The most promising strategies include focusing on core academic skills, reducing class size, enrolling students in more challenging courses, administering annual achievement assessment tests, creating schools with a culture of competition and success, and offering vouchers in big-city school districts. While implementing new educational programs on a large scale is fraught with difficulties, these successful reform efforts offer what could be the start of widespread effective solutions for bridging the achievement gap.